Asymptotic Behavior in Sliding Mode Control Systems

Zolezzi, Tullio

Serdica Mathematical Journal (2013)

  • Volume: 39, Issue: 3-4, page 215-232
  • ISSN: 1310-6600

Abstract

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Practical stability of real states of nonlinear sliding mode control systems is related to asymptotic vanishing of the corresponding sliding errors. Conditions are found such that, if the equivalent control achieves exponential stability, then real states are practically stable. In special cases, their exponential stability is obtained. A link between convergence of regularization procedures and metric regularity is pointed out. 2010 Mathematics Subject Classification: 93B12, 93D15.

How to cite

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Zolezzi, Tullio. "Asymptotic Behavior in Sliding Mode Control Systems." Serdica Mathematical Journal 39.3-4 (2013): 215-232. <http://eudml.org/doc/294982>.

@article{Zolezzi2013,
abstract = {Practical stability of real states of nonlinear sliding mode control systems is related to asymptotic vanishing of the corresponding sliding errors. Conditions are found such that, if the equivalent control achieves exponential stability, then real states are practically stable. In special cases, their exponential stability is obtained. A link between convergence of regularization procedures and metric regularity is pointed out. 2010 Mathematics Subject Classification: 93B12, 93D15.},
author = {Zolezzi, Tullio},
journal = {Serdica Mathematical Journal},
keywords = {sliding mode control; practical stability; asymptotic convergence},
language = {eng},
number = {3-4},
pages = {215-232},
publisher = {Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences},
title = {Asymptotic Behavior in Sliding Mode Control Systems},
url = {http://eudml.org/doc/294982},
volume = {39},
year = {2013},
}

TY - JOUR
AU - Zolezzi, Tullio
TI - Asymptotic Behavior in Sliding Mode Control Systems
JO - Serdica Mathematical Journal
PY - 2013
PB - Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
VL - 39
IS - 3-4
SP - 215
EP - 232
AB - Practical stability of real states of nonlinear sliding mode control systems is related to asymptotic vanishing of the corresponding sliding errors. Conditions are found such that, if the equivalent control achieves exponential stability, then real states are practically stable. In special cases, their exponential stability is obtained. A link between convergence of regularization procedures and metric regularity is pointed out. 2010 Mathematics Subject Classification: 93B12, 93D15.
LA - eng
KW - sliding mode control; practical stability; asymptotic convergence
UR - http://eudml.org/doc/294982
ER -

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